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Finding the Fourth Proportional to 7,661.52, 11,494.44 and 2,731.32

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Solution

The fourth proportional to 7,661.52, 11,494.44 and 2,731.32 is: 4,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.52 : 11,494.44 = 2,731.32 : x
  2. Step 2: Convert to fraction form
    7,661.52/11,494.44 = 2,731.32/x
  3. Step 3: Cross multiply
    7,661.52x = 11,494.44 × 2,731.32
  4. Step 4: Simplify right side
    7,661.52x = 31,394,993.86
  5. Step 5: Solve for x
    x = 31,394,993.86/7,661.52
  6. Step 6: Final answer
    x = 4,097.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.